Degrees to Radians
56 min 21 Examples
- Intro to Video: Degrees and Radians
- Overview of Radian Measure
- How to Convert Degrees to Radians and Radians to Degrees
- Examples #1-6: Convert from Degree to Radian Measure
- Examples #7-10: Convert from Degree or DMS to Radian Measure
- Examples #11-17: Convert from Radians to Degree Measure
- Examples #18-21: Find Radians, Degrees, and Sketch in Standard Position
Arc Length Formula
31 min 5 Examples
- Intro to Video: Arc Length and Area of a Sector
- Overview of Arc Length
- Two Examples – Calculate the arc length given the radius and central angle
- Example – How much does a smaller wheel causes a larger wheel to rotate?
- Example – Pulley raising a weight
- Overview of Area of a Sector
- Two Examples – Calculate the area of each sector
Unit Circle
1 hr 38 min 36 Examples
- Intro to Video: Unit Circle
- Quick Review of the Six Trig Functions and how to represent them in a Unit Circle
- Special Right Triangles and their Importance
- Creating the Unit Circle – Left Hand Trick!
- Examples #1-7: Evaluate the Unit Circle
- Examples #8-18: Evaluate the Unit Circle
- Examples #19-27: Evaluate the Unit Circle
- Examples #28-36: Evaluate the Unit Circle
Angular and Linear Velocity
25 min 4 Examples
- Intro to Video: Angular Velocity and Linear Velocity
- Overview of Angular Velocity and Rotary Motion
- Overview of Linear Velocity
- Example – Calculate the angular velocity of two pulleys
- Example – Given the Earth travels around the Sun, find the angle formed in one day
- Example – Given the Earth travels around the Sun, find the angular velocity
- Example – Given the Earth travels around the Sun, find the linear velocity of Earth
Chapter Test
57 min 30 Examples
- Example #1: How many radians does the edge of a propeller rotate?
- Examples #2-3: Find the area of a sector or length of an arc
- Examples #4-5: Find the angular velocity and the distance traveled of a merry-go-round
- Example #6: Find the angular velocity of a pulley
- Example #7: How many degrees does a point on a tire move?
- Example #8: Find the linear velocity of a point on the edge of a wheel
- Examples #9-14: Convert from Degrees to Radians
- Examples #15-20: Convert from Radians to Degrees
- Examples #21-30: Evaluate using the Unit Circle